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Finding the Fourth Proportional to 272.73, 409.19 and 149.46

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Solution

The fourth proportional to 272.73, 409.19 and 149.46 is: 224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.73 : 409.19 = 149.46 : x
  2. Step 2: Convert to fraction form
    272.73/409.19 = 149.46/x
  3. Step 3: Cross multiply
    272.73x = 409.19 × 149.46
  4. Step 4: Simplify right side
    272.73x = 61,157.54
  5. Step 5: Solve for x
    x = 61,157.54/272.73
  6. Step 6: Final answer
    x = 224.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.